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Finding the Fourth Proportional to 201.45, 300.45 and 182.01

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Solution

The fourth proportional to 201.45, 300.45 and 182.01 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 300.45 = 182.01 : x
  2. Step 2: Convert to fraction form
    201.45/300.45 = 182.01/x
  3. Step 3: Cross multiply
    201.45x = 300.45 × 182.01
  4. Step 4: Simplify right side
    201.45x = 54,684.90
  5. Step 5: Solve for x
    x = 54,684.90/201.45
  6. Step 6: Final answer
    x = 271.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.